Geometry

Question Analysis

The main focus is on determining the diameter of the circle. First, we need to find the radius by identifying the center of the circle and a point on its circumference. Then, we use the relationship  (where  is the diameter and  is the radius) to calculate the diameter.

Key Concept Explanation

The diameter  of a circle is twice the radius , i.e., . The radius is the distance from the center of the circle to any point on its circumference, and we can use the distance formula  to find the radius.

Step - by - Step Solution

1. Identify the center and a point on the circumference:

Assume the center of the circle is at  (by observing the graph). A point on the circumference could be .

2. Calculate the radius using the distance formula:

Here, ,

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